SOLUTION: Find the equation for this line (1,4)(5,6)

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Question 59522: Find the equation for this line (1,4)(5,6)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation for this line (1,4)(5,6)
In order to find the equation for a line you need the slope and a point.
You don't have a slope, so we need to find it using the slope formula highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29, m=slope, (x1,y1) and (x2,y2) are given points.
(x1,y1)=(1,4) and (x2,y2)=(5,6)
m=%286-4%29%2F%285-1%29
m=2%2F4
m=1%2F2
Now we can use the point slope formula highlight%28y-y1=m%28x-x1%29%29,m=slope, and (x1,y1) is a given point.
m=1/2 and (x1,y1)=(1,4)
y-4=%281%2F2%29%28x-1%29
y-4=%281%2F2%29x-%281%2F2%29
y-4%2B4=%281%2F2%29x-%281%2F2%29%2B4
y=%281%2F2%29x-1%2F2%2B8%2F2
y=%281%2F2%29x%2B7%2F2 Slope intercept form of the line.
2y=2%281%2F2%29x%2B2%287%2F2%29
2y=x%2B7
-x%2B2y=-x%2Bx%2B7
-x%2B2y=7
-%28-x%2B2y%29=-7
x-2y=-7 Standard form of a line.
Happy Calculating!!!